The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  8  2  0  2  8  1  2  1  1
 0  2  0  0  0  2  6  2  0  4  8  2 10  2  2  2  4  4 10  0
 0  0  2  0  2  2  2  4  2  6  2  6  6  8 12 12  4 10  8  0
 0  0  0  2  2  0  2  6  4  2  6  2  8  0 14 14 12 10 12  0
 0  0  0  0  8  0  0  0  0  0  8  8  0  8  8  0  8  8  0  0
 0  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  8  8  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+129x^14+362x^15+626x^16+1884x^17+2888x^18+6926x^19+6976x^20+7080x^21+3038x^22+1830x^23+564x^24+316x^25+88x^26+34x^27+24x^28+1x^30+1x^32

The gray image is a code over GF(2) with n=160, k=15 and d=56.
This code was found by Heurico 1.16 in 3.13 seconds.